At 8 a.m., Tiffany and Hazel raced off together from the starting point of a pathway. Tiffany ran at an average speed of 2 m/s. Hazel ran at an average speed of 4 m/s. Upon reaching the end of the pathway, Hazel rested for 3 minutes. She then immediately ran back along the same route at 4 m/s. At 8.30 a.m., Tiffany met Hazel.

1. Find the total distance covered by the two runners when they met each other. Express your answer in km.
2. Find the length of the trail in km.

(a)
From 8 a.m. to 8.30 a.m. = 30 min

Duration that Tiffany ran = 30 min
Duration that Hazel ran = 30 -  3 = 27 min

1 min = 60 s

27 min = 27 x 60 = 1620 s
30 min = 30 x 60 = 1800 s

Distance that Tiffany ran
= 2 x 1800
= 3600 m

Distance that Hazel ran
= 4 x 1620
= 6480 m

Distance that Tiffany and Hazel ran
= 3600 + 6480
= 10080 m

1000 m = 1 km

10080 m = 10080 ÷ 1000 = 10.08 km

(b)
Length of the trail
= 10.08 ÷ 2
= 5.04 km

Answer(s): (a) 10.08 km; (b) 5.04 km